Question

5 Under which operation the set G={-3n\n is any integer } would be an abelian group​

Answer 1

Explanation:

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Answer 2

Under which operation the set G={-3 n: n ∈ Z} would be an abelian group​ ?

Explanation:

• The set G={-3 n: n ∈ Z} would be an Addition abelian group.

• According to the Abelian group, all the real numbers come under the category of addition.

• The non-zero real numbers come under the category of multiplication.

• In the given problem, the set G contains the real number, n = (-3), in which n belongs to the integer Z.

• Therefore, the set G={-3 n: n ∈ Z} belongs to the addition abelian group.